Practise identifying mutually exclusive events from two-way tables by checking whether the events can occur together and whether their joint probability is zero.
The table below shows data that were collected from 125 middle school children. It indicates their gender and whether or not they believe that their father could overpower a sumo wrestler.
One of these children is picked at random. Which of the following correctly interprets mutually exclusive events represented by the table?
Believing one's father can overpower a sumo wrestler and not believing one's father can overpower a sumo wrestler
Believing one's father can overpower a sumo wrestler and being a boy
Believing one's father can overpower a sumo wrestler and being a girl
Not believing one's father can overpower a sumo wrestler and being a boy